Question

What are the only possible solutions to the equation below?

(x-6)^2=7

I'm thinking that it may be, X = /7 + 6 and X = -/7 +6

Or

X = /7 -6 and X = /7 +6

It obviously can't be X = -/7 -6

PLEASE HELP!

Answer 1

\((x-6)^2\)+7=?

Answer 2

No
=7

Answer 3

Crap, wrote it wrong, xD

Answer 4

oh i misunderstood okay thx for clarifying. Funny name btw....

Answer 5

Thx. :3

Answer 6

\((x-6)^2=7\)

Answer 7

Indeed...

Answer 8

\(x^2+36=7\)

Answer 9

x^2+36=7
-36 -36
x^2=-29

Answer 10

It can't be X = -/7 -6 right? Please, look @ my question and see my guestimates. :)

Answer 11

\[x=6\pm \sqrt{7}\]

Answer 12

\[X=\sqrt{7} +6\] Is a correct one right?

Answer 13

Guys, please help.

Answer 14

I would have just taken the square root at the beginning for this particular one...

\(\large (x - 6)^2 = 7\)
\(\large \sqrt{(x - 6)^2} = \sqrt{7}\)
\(\large x - 6 = \pm\sqrt{7}\)
\(\large x = 6\pm\sqrt{7}\)

2 solutions...

Answer 15

Sooo, it's basically these solutions - \[X = \sqrt{7} -6 \] and \[X = \sqrt{7} +6\] That's how they are written...

Answer 16

No that is incorrect....remember when you take the square root of that 7...it is +/- √7....the way you have it written it is +/- 6

\(\large \sqrt{7} - 6 \ne 6 - \sqrt{7} \)

Answer 17

The correct way of writing them is

\[\large x = 6 - \sqrt{7} \]
and
\[\large x = 6 + \sqrt{7} \]

Answer 18

Then Apex writes them wrong. I'm trying my best here xD, that is how they are written in Apexvs.

Answer 19

THose are solutions, correct?

Answer 20

Yes they are the correct solutions

Answer 21

Then in other-words, the way that Apex writes them(my last reply) was correct, just in a different form?

Answer 22

Yes that is basically it

Answer 23

I mean..mathematically ...incorrect.....but since that is how they write them...correct lol

Answer 24

Alright, let's see... :)

Answer 25

So, it's \[X = \sqrt{7} -6\] and \[X = \sqrt{7}+6\] not \[X = \sqrt{7}+6\] and \[X = -\sqrt{7} +6\]

Answer 26

THE SECOND CHOICES! lol that is how they would be written in the different form!!

x = √7 + 6
x = -√7 + 6

Answer 27

This is getting real confusing

Answer 28

ikr? :P

Answer 29

And this is Algebra 1... (Supposedly) I'm in 9th grade moving on to 10th, we had a student teacher the whole damned year...

Answer 30

lol....okay

What I wrote as the answer...

\[\large 6 \pm \sqrt{7} \]

this IS equal to

\[\large \sqrt{7} + 6 \]
and
\[\large -\sqrt{7} + 6 \]

lol ...all clear??

Answer 31

So basically the second choices, correct?

Answer 32

Yes! lol

Answer 33

Kk, sorry for being annoying... /Best-Response to John. :)

CORRECT!

/closed

Answer 34

@ObamaBinLlama says, "I'm thinking that it may be, X = /7 + 6 and X = -/7 +6" ... and you would be correct.

Answer 35

Thx Barrap